The Characteristics of Orthogonal Vector-Valued Three-Dimensional Wavelet Packets with Six-Scale Dilation Factor

摘要

Wavelet analysis has been developing a widely used mathematical branch for twenty years. In this work, the notion of orthogonal vector-valued wavelet packets in higher dimensions is introduced. A feasible procedure for designing them is presented. Their properties are characterized by using time-frequency analysis method, matrix theory and finite group theory. Orthogonality formulas are established.